论文标题
对狄拉克量化条件的新看
A new look at the Dirac quantization condition
论文作者
论文摘要
任何量子系统的角动量都应被量化{\ IT}。我们表明，由于来自Dirac String的磁场和电荷的电场的单极电动电荷系统的先前忽略的场角动量和电荷电场的单极电荷系统的先前忽略的场角动量，因此这种量化失败了。将点拆下方法应用于单极电荷系统会产生一种总角动量，该动量遵守标准角动量代数，但它是量规{\ it变体}。相反，可以正确量化拓扑't Hooft-Polyakov Monopole加电荷的角动量。这意味着纯狄拉克单孔是不可行的 - 在理论上，只有hooft-polyakov monopoles与角动量量化和规格不变性一致。
The angular momentum of any quantum system should be {\it unambiguously} quantized. We show that such a quantization fails for a pure Dirac monopole due to a previously overlooked field angular momentum from the monopole-electric charge system coming from the magnetic field of the Dirac string and the electric field of the charge. Applying the point-splitting method to the monopole-charge system yields a total angular momentum which obeys the standard angular momentum algebra, but which is gauge {\it variant}. In contrast it is possible to properly quantize the angular momentum of a topological 't Hooft-Polyakov monopole plus charge. This implies that pure Dirac monopoles are not viable -- only 't Hooft-Polyakov monopoles are theoretically consistent with angular momentum quantization and gauge invariance.
